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Finding the Fourth Proportional to 13,101.14, 18,079.71 and 7,132.86

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Solution

The fourth proportional to 13,101.14, 18,079.71 and 7,132.86 is: 9,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.14 : 18,079.71 = 7,132.86 : x
  2. Step 2: Convert to fraction form
    13,101.14/18,079.71 = 7,132.86/x
  3. Step 3: Cross multiply
    13,101.14x = 18,079.71 × 7,132.86
  4. Step 4: Simplify right side
    13,101.14x = 128,960,013.52
  5. Step 5: Solve for x
    x = 128,960,013.52/13,101.14
  6. Step 6: Final answer
    x = 9,843.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.